Absence of measurement-induced entanglement transition due to feedback-induced skin effect

Abstract

A quantum many-body system subject to unitary evolution and repeated local measurements with an increasing rate undergoes a measurement-induced entanglement transition from extensive (or subextensive) to area law entropy scaling. We find that certain open boundary systems under "generalized monitoring", consisting of "projective monitoring" and conditional feedback, display an anomalous late-time particle concentration on the edge, reminiscent of the "skin effect" in non-Hermitian systems. Such feedback-induced skin effect will suppress the entanglement generation, rendering the system short-range entangled without measurement-induced entanglement transition. While initially emerged in noninteracting models, such skin effect can also occur in chaotic interacting systems and Floquet quantum circuits subjected to random generalized measurements. Since the dynamics of the skin effect do not require post selection, and can be observed at the particle number level, the phenomenon is experimentally relevant and accessible in noisy intermediate-scale quantum platforms, such as trapped ions.

18 pages, 8 figures; Accepted version

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Cited by in corpus (18)

• Dynamical Transition due to Feedback-induced Skin Effect
• Measurement-Induced Entanglement Phase Transition in Free Fermion Systems
• Lindbladian dynamics with loss of quantum jumps
• Numerical instability of non-Hermitian Hamiltonian evolutions
• Fate of non-Hermitian free fermions with Wannier-Stark ladder
• Skin Effect Induced Anomalous Dynamics from Charge-Fluctuating Initial States
• Entangelment Entropy on Generalized Brillouin Zone
• Nonlinear Hall effects with an exceptional ring
• Delocalization of skin steady states
• Many-Body Non-Hermitian Skin Effect with Exact Steady States in the Dissipative Quantum Link Model
• Quantum feedback induced entanglement relaxation and dynamical phase transition in monitored free fermion chains with Wannier-Stark ladder
• Non-Hermitian Delocalization Induced by Residue Imaginary Velocity
• Digital Quantum Simulation of the Lindblad Master Equation and Its Nonlinear Extensions via Quantum Trajectory Averaging
• Absence of measurement- and unraveling-induced entanglement transitions in continuously monitored one-dimensional free fermions
• Symmetry and Topology of Monitored Quantum Dynamics
• Efficient simulation of non-trivial dissipative spin chains via stochastic unraveling
• Generation of Volume-Law Entanglement by Local-Measurement-Only Quantum Dynamics
• Noisy Monitored Quantum Circuits